SOLUTION: A chemist needs 100 liters of a 50% acid solution for an experiment. She has only 55 liters of a 75% acid solution and 55 liters of a 30% acid solution in stock. How much of each s

Question 1053410: A chemist needs 100 liters of a 50% acid solution for an experiment. She has only 55 liters of a 75% acid solution and 55 liters of a 30% acid solution in stock. How much of each solution should she use? Does she have enough of each?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
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A chemist needs 100 liters of a 50% acid solution for an experiment. She has only 55 liters of a 75% acid solution
and 55 liters of a 30% acid solution in stock. How much of each solution should she use? Does she have enough of each?
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The governing equation is

0.75x + 0.3(100-x) = 0.5*100.

Simplify and solve:

0.75x + 30 -0.3x = 50,

0.45x = 20  --->  x =  =  =  = 44.(4).

She needs 44.(4) liters of the 75% acid solution and 100-44.(4) = 55.(5) liters of the 30% acid solution.
                       
She doesn't have enough the 30% acid solution to mix.

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